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Finding the Fourth Proportional to 390.78, 539.37 and 266.75

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Solution

The fourth proportional to 390.78, 539.37 and 266.75 is: 368.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.78 : 539.37 = 266.75 : x
  2. Step 2: Convert to fraction form
    390.78/539.37 = 266.75/x
  3. Step 3: Cross multiply
    390.78x = 539.37 × 266.75
  4. Step 4: Simplify right side
    390.78x = 143,874.25
  5. Step 5: Solve for x
    x = 143,874.25/390.78
  6. Step 6: Final answer
    x = 368.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.